Algebraic & Geometric Topology 2 (2002) 37–50

DOI: 10.2140/agt.2002.2.37

arXiv: math.GT/0202261

Abstract

In this paper we construct explicit examples of both closed and non-compact finite volume hyperbolic manifolds which provide counterexamples to the conjecture that the co-rank of a 3–manifold group (also known as the cut number) is bounded below by one-third the first Betti number.

Keywords

3–manifolds, co-rank, pseudo-Anosov

Mathematical Subject Classification

Primary: 57M05

Secondary: 20F34, 57M50

References

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Publication

Received: 19 November 2001
Revised: 16 January 2002
Accepted: 27 January 2002
Published: 1 February 2002

Authors